Answer: x=4
Step-by-step explanation:
Subtract 6x from both sides.
5x+3−6x=6x−1−6x
−x+3=−1
Step 2: Subtract 3 from both sides.
−x+3−3=−1−3
−x=−4
Step 3: Divide both sides by -1.
−x/−1 = −4/−1
x=4
Step-by-step explanation:
this creates a right-angled triangle.
the right angle (90°) being the angle between flag pole and ground.
the angle ground-wire is 50°.
because we know that the sum of all angles in a triangle is always 180°, we know then that the angle flagpole-wire is
180 - 90 - 50 = 40°
so, we have the situation to know 1 side and all angles.
to get the other sides we use best the law of sine :
a/sin(A) = b/sin(B) = c/sin(C)
where the sides and related angles are always opposite of each other.
in our case now we have
24/sin(50) = wire/sin(90) = wire/1 = wire = 31.32977494... ft
so, the rounded answer is that the wire must be
31.3 ft long
The correct answer for each is
a= 390.8
b= 136.8
Answer:
A. 34°
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] tanθ = opposite over adjacent
- Inverse Trig
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
Angle θ = <em>x</em>
Opposite leg AC = 24
Adjacent leg CB = 35
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [Tangent]:

- Inverse Trig [Tangent]:

- Evaluate:

- Round:

Hey there!
24 tenths is 240
3 tenths is 30
1 one= 1
240-1=239
239-30=
209
Hope it helps!